Percent of Change - Algebra - Socratic
2016年3月15日 · The average cost for a gallon of gasoline increased from $2.56 one year to $3.18 the next year. What is the percent of increase, rounded to the nearest whole number? A concert ticket that originally cost $18.50 is on sale for $14.00.
Rate of Change of a Function - Calculus - Socratic
2014年11月2日 · How to find average cost over [0,600] ? A ladder 10ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a speed of 2ft/s, how fast is the angle between the top of the ladder and the wall changing when the angle is #pi/4# rad?
Percent Equations - Algebra - Socratic
Dana bought 3 shirts and a belt. Each shirt cost the same amount and the belt cost $85.75. The total Dana paid was $162.25 before a 7.6% sales tax was added. If a 15% discount was applied to each shirt, how much did one shirt cost including tax?
How do you find the rate of change of y with respect to x?
2014年9月23日 · Dividing the change in distance by the change in time, one obtains an average velocity, or rate of change of distance with respect to time, of 0.1 miles per minute (or 6 miles per hour). For our second example, consider a function y = x^2. Suppose one wants to know the average rate of change for this function over the inclusive x-interval [2,5].
How do you find the average value of - Socratic
2016年9月5日 · 2/pi The average value of the function f(x) on the interval [a,b] can be evaluated through the following ...
You scored 88, 92, and 87 on three tests. How do you write
2016年11月22日 · 93 You need to understand that you're solving for the average, which you already know: 90. Since you know the values of the first three exams, and you know what your final value needs to be, just set up the problem like you would any time you're averaging something. Solving for the average is simple: Add up all of the exam scores and divide that …
Equations with Ratios and Proportions - Algebra - Socratic
If 200 vitamins cost $4.75, what should 500 vitamins cost? How do you write each real-world example as a rate using labels and then the unit rate: Isabella spends $20 for 4 pounds of grapes? How do you write each real-world example as a rate using labels and then the unit rate: Mrs. Thomas charges $60 for 120 minutes of tutoring?
Rates of Change - Algebra - Socratic
By 1986 the average price of a home was $112,000. What is the rate of change? A 2000 Ltank containing 550 L of water is being filled with water at the rate of 75 L per minute from a full 1600 L tank.
How do you find the instantaneous rate of change of a ... - Socratic
2014年7月31日 · You can find the instantaneous rate of change of a function at a point by finding the derivative of that function and plugging in the x-value of the point. Instantaneous rate of change of a function is represented by the slope of the line, it tells you by how much the function is increasing or decreasing as the x-values change. Figure 1. Slope of a line In this image, you …
A ladder 10ft long rests against a vertical wall. If the ... - Socratic
2018年4月6日 · sqrt2/5 rad/s Let x be the distance between the base of the wall and the bottom of the ladder. And let theta be the angle between the top of the ladder and the wall, Then x/10 = sin theta, so x = 10sintheta. Differentiating with respect to time t gets us dx/dt = 10 cos theta (d theta)/dt We were told that dx/dt = 2 ft/s and we seek (d theta)/dt when theta = pi/4 2 = 10 ( …